A352346 Common terms between A061078 and A061077.

26, 52, 148, 280, 320, 454, 1150, 1480, 8000, 41650, 80300, 165656, 166088, 614900, 2353700, 2859460, 28233200, 66130400, 68941640, 85717240, 107300320, 131507080, 155478800, 207666520, 1426680920, 1824596800, 2468014900, 2475648820, 5342351060, 5355218900, 5857281500, 8550475900, 36025361120

Offset

1,1

Comments

Smarandache's conjecture: there are infinitely many terms.

This is a subsequence of A061076.

References

A. Murthy, Smarandache friendly numbers and a few more sequences, Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001. Page 267

Links

Chai Wah Wu, Table of n, a(n) for n = 1..205

Example

26 is a term of this sequence, in fact:
26 = 1+3+5+7+9+1*1 (A061077(6)=26);
26 = 2+4+6+8+1*0+1*2+1*4 (A061078(7)=26).

Mathematica

Intersection[Accumulate[Times @@@ IntegerDigits[Range[2, 10000000, 2]]],
Accumulate[Times @@@ IntegerDigits[Range[1, 10000000, 2]]]]

Prog

(Python)
from math import prod
from itertools import islice
def A352346_gen(): # generator of terms
    n1, m1, n2, m2 = 1, 1, 2, 2
    while True:
        if m1 == m2:
            yield m1
        k = 0
        while k == 0:
            n1 += 2
            m1 += (k := prod(int(d) for d in str(n1)))
        while m2 < m1:
            n2 += 2
            m2 += prod(int(d) for d in str(n2))
A352346_list = list(islice(A352346_gen(), 20)) # Chai Wah Wu, Mar 21 2022

Crossrefs

Cf. A061076, A061077, A061078.

Sequence in context: A040650 A252994 A288162 * A214476 A121738 A335475

Adjacent sequences: A352343 A352344 A352345 * A352347 A352348 A352349

Keyword

nonn,base

Author

Luca Onnis, Mar 12 2022

Status

approved